The experimental probability of rolling a 5 is 0.19, or 19%.
To find the experimental probability of rolling a 5 with a number cube (dice), based on the data provided in the bar graph, follow these steps:
1. Identify the Frequency of Rolling a 5: Look at the bar corresponding to the number 5 on the graph and note the frequency. From the image, it appears that the number 5 was rolled 19 times.
2. Calculate the Total Number of Trials: Add up the frequencies for all numbers rolled to get the total number of trials. Based on the bar graph, the total is:
![\[ 13 (for 1) + 16 (for 2) + 15 (for 3) + 17 (for 4) + 19 (for 5) + 20 (for 6) = 100 \]](https://img.qammunity.org/2024/formulas/mathematics/college/b9t99d7ossl7klwbpmnnvlz4omvcws8epe.png)
3. Compute the Experimental Probability: Use the frequency of rolling a 5 and the total number of trials to calculate the experimental probability using the formula:
![\[ P(5) = \frac{\text{Frequency of rolling a 5}}{\text{Total number of trials}} \]](https://img.qammunity.org/2024/formulas/mathematics/college/bg8ovqoxjfre0axvpv61wh59q0qdrqrut4.png)
4. Perform the Calculation: Substitute the values into the formula:
![\[ P(5) = (19)/(100) \]](https://img.qammunity.org/2024/formulas/mathematics/college/jh82j79o5iovbwpbw8cxdxkdqzf3uxwiyn.png)
5. Express the Probability: The experimental probability is expressed as the ratio of the number of times a 5 was rolled to the total number of rolls. So, the experimental probability of rolling a 5 is 0.19, or 19%.